MATH 447 M16 - Real Variables
Careful development of elementary real analysis for those who intend to take graduate courses in Mathematics. Topics include completeness property of the real number system; basic topological properties of n-dimensional space; convergence of numerical sequences and series of functions; properties of continuous functions; and basic theorems concerning differentiation and Riemann integration. Course Information: 3 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 447 and either Math 424 or MATH 444. 4 hours of credit requires approval of the instructor and completion of additional work of substance. Prerequisite: MATH 241 or equivalent; junior standing; MATH 347 or MATH 348, or equivalent experience; or consent of instructor.
This section is only available in a 16-week self-paced online format as part of the academic year term (not summer term). Registration for the self-paced class is done through https://netmath.illinois.edu/register/college (not self-service). This course features video lectures and online lecture notes through Moodle. No additional textbook has to be purchased. Please contact email@example.com with any questions.
Option 1Number of Required Visit(s): 0
Course Level: Graduate
Term(s): Continuous/Open , Summer